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Mathematics 45 Online
OpenStudy (anonymous):

How do you find the solutions of cos^1x - 3sinx + 2sin^2x = 0 in degrees?http://bamboodock.wacom.com/doodler/6f06a9ee-6b26-435d-9685-2e62bcaa13b5 http://bamboodock.wacom.com/doodler/5ebb5618-f075-482f-88ac-3645f2ed822d

OpenStudy (anonymous):

i mean cos^2x - 3sinx + 2sin^2x = 0

OpenStudy (anonymous):

i think u did it wrong

OpenStudy (anonymous):

This will become: \[\sin^2(x) - 3\sin(x) + 1 = 0\]

OpenStudy (anonymous):

sin(x) (2 sin(x)-3)+cos(x) = 0

OpenStudy (anonymous):

-3 sin(x)+cos(x)-cos(2 x) = -1

OpenStudy (anonymous):

@waterineyes is doing right

OpenStudy (anonymous):

-3 sin(x)+cos(x)-cos(2 x)+1 = 0

OpenStudy (anonymous):

now u can do it easily

OpenStudy (anonymous):

ans 2 sin^2(x)-3 sin(x)+cos(x) = 0

OpenStudy (anonymous):

\[\sin(x) = \frac{3 \pm \sqrt{5}}{2}\]

OpenStudy (anonymous):

wait so my first step is to convert cos^2 to sin right?

OpenStudy (anonymous):

Yes using: \[\cos^2(x) = 1 - \sin^2(x)\]

OpenStudy (anonymous):

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